Algebra Questions

Find a polynomial function f x of least degree having only real coefficients and zeros as given Assume multiplicity 1 unless otherwise stated zero of 3 multiplicity 2 and zero 5i f x Simplify your answer

Write the equation of a real function with zeroes at x 4 and x 2 3 The imaginary unit should not be part of the answer f x

Given that 2 is a zero of the polynomial function f x find the remaining zeros f x x 10x 41x 50 List the remaining zeros other than 2 Simplify your answer Type an exact answer using radicals and i as needed Use a

Find a polynomial of degree 3 with real coefficients and zeros of 3 1 and 4 for which f 2 12 f x Simplify your answer Do not factor

For the polynomial function a list all possible rational zeros b find all rational zeros and c factor f x f x x 2x 13x 10 a Determine the possible rational zeros for f x Choose the correct answer below OA 1 2 5 OC 1 2 5 b Determine the rational zeros for f x Choose the correct answer below A 1 2 5 O C 1 OB 1 2 5 10 D 1 2 5 10 OB 1 2 5 10 OD 1 2 5 c The factored form of f x x3 2x 13x 10 is f x Simplify your answer Factor completely Use integers or fractions for any numbers in the expression

Factor f x into linear factors given that R f x 2x 9x 33x 14 k 2 f x Factor completely

Estimate the x and y intercepts from the graph x intercept s 14 y intercept s 2 34 2 Write each intercept as an ordered pair Separate your answers using commas if necessary Select None if applicable 13 0 0 None 0 0

Let f t 5et For what value of t will f t 10 Round to 2 decimal places t

The graph of the polynomial f x is given below If f z has degree 4 find the factored equation for f x Provide your answer below f x 2

The value V of an item after t years is given by the following formula assuming linear depreciation V C Crt where C is the original cost and r is the rate of depreciation expressed as a decimal If you buy a car for 7830 and it depreciates linearly at a rate of 17 per year what will be its value after 9 months Round your answer to the neares

The graph of the polynomial f z is given below If f x has degree 3 find the factored equation for f x f x 2 3 2 1 1 2 3 0 3

1 a Use the fundamental theorem of algebra to determine the number of roots for 2x 4x 7 b What are the roots of 2x 4x 7 Show your work Answer

sin r cos r OO None of above

a Graph the function b What are the x and y intercepts of the graph Answer 6 5 4 3 2 1 6 5 4 3 2 1 1 y 2 3 4 5 1 2 3 4 5 6

Score for Question 3 of 6 points 3 Simplify the expression x3 5x2 7x 12 x 4 using long division Show your work Answer

3 C4x ry 2

2 x 3 y 653 8

2 718x 35

1 2 C3x y 5 7x y

28 Evaluate 16 N w

Evaluate

23 Evaluate 16 25

T2 5 25 Evaluate 42 2 45 1 2 5 2 32 26

24 Evaluate 85 3 8 2

5 Write 2 5 as an entire radical 2 24 1 5 2 4 5 20

13 Write 80 in simplest form Brue 31

7 Determine if the following numbers are rational or irrational a 41 b 7 2 irrational Rational because itisa Fraction e 121 2 d 77 irrational irrational Rational

Find the range and interquartile range IQR of the data set 21 38 42 37 40 38 24 66 40 54 28 40 Press each hotspot Label the corresponding number below with the requested value Range 1

14 Write 54 in simplest form 3 271 0 22

11 Write 108 in simplest form 54 2

10 Write 32 in simplest form 1612 1 2

2 Evaluate 16 b 2 6 c 16 d 1 4

5 Evaluate 3 2 a b 6 6 9 d

9 Write 12 in simplest form 6 2

6 Evaluate 27 m 00 5

The table shows ordered pairs for a polynomial function f X 2 1 0 1 2 3 4 What is the degree of f Enter your answer in the box f x 30 0 2 0 30 160 510

ind the mean median and mode of ne data set 21 38 42 37 40 38 24 66 40 54 28 40 Press each hotspot Label the corresponding number below with the requested value Mean Median T 2 15 FURL

X 3 a 3x 4 6x 4x 16x 2 X 3 3 3 3 6 4 16 2 E 3 36 4 16 2 3

Is the binomial a factor of the polynomial function f x x 2x 16x 32 Select Yes or No for each binomial x 2 x 2 x 4 x 4 x 6 Yes O O O No O

Melissa is using synthetic division to divide 3x x 9x 7 by x 1 Which answer is correct O 33 1 9 7 9 24 45 3 8 15 52 13 1 97 3 4 5 3 4 5 12 113 1 9 7 3 2 7 3 2 7 0 313 1 9 7 9 30 63 3 10 21 56

Which graph represents x 5x O 5 4 3 2 1 5 4 3 2 4 1 23 y 2 3 4 5 4 3 2 1 f1 XH 5 4 3 2 1 2 3 1 2 3 1 2 3 X 4 5 X 4 5 5 4 3 2 11 5 4 3 2 1 2 3 4 5t 54 y 21 5 4 3 2 1 y 3 2 23 H 1 H 3 X 1 2 3 4 5 X 1 2 3 4 5

Which statements are true about the polynomial function x x 5x 6x Select each correct answer x 2 is a factor of f x O f 2 0 Of x 0 when x 2 f x divided by x 2 has a remainder of 0

Which graph represents f x x 6 5 4 3 2 1 6 5 4 3 2 1 2 3 4 5 y 6 5 4 3 2 y 2 3 4 5 6 X O 6 5 4 3 2 1 6 5 4 3 2 1 1 2 3456 E 2 3 4 5 6 5 4 32 2

One of the zeros of the polynomial function is 5 f x x 4x 21x 100x 100 What is the factored form of the function O f x x 5 x 5 x 2 f x x 2 x 5 Of x x 2 x 2 x 5 O f x x 5 x 5 x 2 x 2

What are the zeros of the polynomial function f x x 2 103z 200z 300 Select each correct answer 0 10 0 3 0 1 00 0 3

Factor the polynomial function over the complex numbers z z 9z 15z 9z 14 Enter your answer in the box f x 1

Divide 4x 2x 1 x 1 4x 4x 6 711 O 4x 4x 6 O 4x 4x 6 O 4x 4x 6 5 5 x 1 5 x 1 5 x 1

What are the factors of the polynomial function Use the rational root theorem to determine the factors f x x 6x 3x 10 Drag each factor of f x into the box Factors of f x

sert six for numbers numbers are between 3 and 1 3 and 12 anthmetic sequences So tha

3 4 5 6 7 8 5 Twice a number increased by 5 is greater than 3 times the number deceased by 7 Write and solve an inequality to find the highest possible integer solution Type a response Show Your Work